Answer:
<h2>C</h2>
Step-by-step explanation:
To determine a function rule, look at the table. Input the x and y value from one column into the function to see if it is correct.
<h3>Function a: y = 10 - 2x</h3>
Input values
22 = 10 - 2(6)
22 = 10 - 12
22 ≠ -2 ❌
As we can see, function a gives us a false statement, so a is incorrect.
<h3>Function b: y = 2 - 10x</h3>
Input values
22 = 2 - 10(6)
22 = 2 - 60
22 ≠ -58 ❌
We once again get a false answer, so b is also not correct.
<h3>Function c: y = 10 + 2x</h3>
Input values
22 = 10 + 2(6)
22 = 22 ✔
Finally, we get a true statement, so option c is correct.
<h3>Function d: y = 2 + 10x</h3>
Just to check that option c is correct, we need to prove that d is incorrect.
Input values
22 = 2 + 60
22 ≠ 62 ❌
This is also wrong, so that proves that c is correct.
I'm always happy to help :)
Answer:
Step-by-step explanation:
let s = the length of the shortest side
:
Write an equation for each statement
:
The second side of a triangular deck is 4 feet longer than the shortest side
(s+4) = the 2nd side
and a third side that is 4 feet shorter than twice the length of the shortest side.
(2s-4) = the 3rd side
:
If the perimeter of the deck is 48 feet, what are the lengths of the three sides?
s + (s+4) + (2s-4) = 48
Combine like terms
s + s + 2s + 4 - 4 = 48
4s = 48
s = 48/4
s = 12 ft is the shortest side
:
:
I'll let you find the 2nd and 3rd sides, ensure they add up to 48
Answer: I am just hoping that this is the correct answer
Step-by-step explanation:
2(-6 + -5y) + (2y + -8) = 0
(-6 * 2 + -5y * 2) + (2y + -8) = 0
(-12 + -10y) + (2y + -8) = 0
Reorder the terms:
-12 + -10y + (-8 + 2y) = 0
Remove parenthesis around (-8 + 2y)
-12 + -10y + -8 + 2y = 0
Reorder the terms:
-12 + -8 + -10y + 2y = 0
Combine like terms: -12 + -8 = -20
-20 + -10y + 2y = 0
Combine like terms: -10y + 2y = -8y
-20 + -8y = 0
Solving
-20 + -8y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + -8y = 0 + 20
Combine like terms: -20 + 20 = 0
0 + -8y = 0 + 20
-8y = 0 + 20
Combine like terms: 0 + 20 = 20
-8y = 20
Divide each side by '-8'.
y = -2.5
Simplifying
y = -2.5